70960968225 has 243 divisors, whose sum is σ = 153977208723. Its totient is φ = 31147865280.

The previous prime is 70960968203. The next prime is 70960968227. The reversal of 70960968225 is 52286906907.

The square root of 70960968225 is 266385.

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

70960968225 is a `hidden beast` number, since 7 + 0 + 9 + 609 + 6 + 8 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25545948561 + 45415019664 = 159831^2 + 213108^2 .

It is not a de Polignac number, because 70960968225 - 2²¹ = 70958871073 is a prime.

It is a super-2 number, since 2×70960968225² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (70960968227) 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, 1202728246 + ... + 1202728304.

Almost surely, 2^70960968225 is an apocalyptic number.

70960968225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

70960968225 is the 266385-th square number.

70960968225 is the 133193-rd centered octagonal number.

It is an amenable number.

70960968225 is an abundant number, since it is smaller than the sum of its proper divisors (83016240498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

70960968225 is a wasteful number, since it uses less digits than its factorization.

70960968225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 70960968225 in words is "seventy billion, nine hundred sixty million, nine hundred sixty-eight thousand, two hundred twenty-five".