350967380625 has 75 divisors (see below), whose sum is σ = 655394958823. Its totient is φ = 187111512000.

The previous prime is 350967380593. The next prime is 350967380653. The reversal of 350967380625 is 526083769053.

It is a happy number.

The square root of 350967380625 is 592425.

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

350967380625 is a `hidden beast` number, since 3 + 5 + 0 + 9 + 6 + 7 + 3 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 344830851729 + 6136528896 = 587223^2 + 78336^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 350967380625 - 2⁵ = 350967380593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 133294309 + ... + 133296941.

Almost surely, 2^350967380625 is an apocalyptic number.

350967380625 is the 592425-th square number.

350967380625 is the 296213-rd centered octagonal number.

It is an amenable number.

350967380625 is a deficient number, since it is larger than the sum of its proper divisors (304427578198).

350967380625 is an frugal number, since it uses more digits than its factorization.

350967380625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5298 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 350967380625 in words is "three hundred fifty billion, nine hundred sixty-seven million, three hundred eighty thousand, six hundred twenty-five".