70964871124225 has 243 divisors, whose sum is σ = 102087276783219. Its totient is φ = 48910795315200.

The previous prime is 70964871124151. The next prime is 70964871124229. The reversal of 70964871124225 is 52242117846907.

The square root of 70964871124225 is 8424065.

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

It can be written as a sum of positive squares in 121 ways, for example, as 503351937729 + 70461519186496 = 709473^2 + 8394136^2 .

It is not a de Polignac number, because 70964871124225 - 2¹³ = 70964871116033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 70964871124225.

It is not an unprimeable number, because it can be changed into a prime (70964871124229) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 651053863471 + ... + 651053863579.

Almost surely, 2^{70964871124225} is an apocalyptic number.

70964871124225 is the 8424065-th square number.

70964871124225 is the 4212033-rd centered octagonal number.

It is an amenable number.

70964871124225 is a deficient number, since it is larger than the sum of its proper divisors (31122405658994).

70964871124225 is a wasteful number, since it uses less digits than its factorization.

70964871124225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 58.

The spelling of 70964871124225 in words is "seventy trillion, nine hundred sixty-four billion, eight hundred seventy-one million, one hundred twenty-four thousand, two hundred twenty-five".