351616505616153 has 32 divisors (see below), whose sum is σ = 522347306256000. Its totient is φ = 233766267291648.

The previous prime is 351616505616143. The next prime is 351616505616179.

351616505616153 is a `hidden beast` number, since 3 + 5 + 1 + 6 + 1 + 6 + 5 + 0 + 5 + 616 + 15 + 3 = 666.

351616505616153 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 351616505616153 - 2¹⁶ = 351616505550617 is a prime.

It is a super-3 number, since 3×351616505616153³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 351616505616153.

It is not an unprimeable number, because it can be changed into a prime (351616505616143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15513925 + ... + 30723197.

It is an arithmetic number, because the mean of its divisors is an integer number (16323353320500).

Almost surely, 2^{351616505616153} is an apocalyptic number.

It is an amenable number.

351616505616153 is a deficient number, since it is larger than the sum of its proper divisors (170730800639847).

351616505616153 is a wasteful number, since it uses less digits than its factorization.

351616505616153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15211638 (or 15211632 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 54.

The spelling of 351616505616153 in words is "three hundred fifty-one trillion, six hundred sixteen billion, five hundred five million, six hundred sixteen thousand, one hundred fifty-three".