1047567625 has 48 divisors (see below), whose sum is σ = 1499455152. Its totient is φ = 727833600.

The previous prime is 1047567617. The next prime is 1047567629. The reversal of 1047567625 is 5267657401.

1047567625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 949379344 + 98188281 = 30812^2 + 9909^2 .

It is not a de Polignac number, because 1047567625 - 2³ = 1047567617 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1047567629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 357667 + ... + 360583.

It is an arithmetic number, because the mean of its divisors is an integer number (31238649).

Almost surely, 2^1047567625 is an apocalyptic number.

It is an amenable number.

1047567625 is a deficient number, since it is larger than the sum of its proper divisors (451887527).

1047567625 is a wasteful number, since it uses less digits than its factorization.

1047567625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 43.

The square root of 1047567625 is about 32366.1493693643. The cubic root of 1047567625 is about 1015.6109064711.

The spelling of 1047567625 in words is "one billion, forty-seven million, five hundred sixty-seven thousand, six hundred twenty-five".