334825061625 has 72 divisors (see below), whose sum is σ = 630962599176. Its totient is φ = 170809003200.

The previous prime is 334825061573. The next prime is 334825061677. The reversal of 334825061625 is 526160528433.

334825061625 is a `hidden beast` number, since 3 + 3 + 4 + 8 + 2 + 5 + 0 + 616 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (334825061573) and next prime (334825061677).

It can be written as a sum of positive squares in 4 ways, for example, as 4305853161 + 330519208464 = 65619^2 + 574908^2 .

It is not a de Polignac number, because 334825061625 - 2⁶ = 334825061561 is a prime.

It is a super-2 number, since 2×334825061625² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 313819 + ... + 876431.

It is an arithmetic number, because the mean of its divisors is an integer number (8763369433).

Almost surely, 2^334825061625 is an apocalyptic number.

It is an amenable number.

334825061625 is a deficient number, since it is larger than the sum of its proper divisors (296137537551).

334825061625 is a wasteful number, since it uses less digits than its factorization.

334825061625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562680 (or 562644 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 334825061625 in words is "three hundred thirty-four billion, eight hundred twenty-five million, sixty-one thousand, six hundred twenty-five".