1052937601 has 9 divisors (see below), whose sum is σ = 1083399849. Its totient is φ = 1023311664.

The previous prime is 1052937593. The next prime is 1052937637. The reversal of 1052937601 is 1067392501.

The square root of 1052937601 is 32449.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 575952001 + 476985600 = 23999^2 + 21840^2 .

It is not a de Polignac number, because 1052937601 - 2³ = 1052937593 is a prime.

It is a super-2 number, since 2×1052937601² = 2217355183199270402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052934601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1200175 + ... + 1201051.

It is an arithmetic number, because the mean of its divisors is an integer number (120377761).

Almost surely, 2^1052937601 is an apocalyptic number.

1052937601 is the 32449-th square number.

1052937601 is the 16225-th centered octagonal number.

It is an amenable number.

1052937601 is a deficient number, since it is larger than the sum of its proper divisors (30462248).

1052937601 is an frugal number, since it uses more digits than its factorization.

1052937601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The cubic root of 1052937601 is about 1017.3433367615.

The spelling of 1052937601 in words is "one billion, fifty-two million, nine hundred thirty-seven thousand, six hundred one".