2137257630585 has 288 divisors, whose sum is σ = 5108270469120. Its totient is φ = 814313606400.

The previous prime is 2137257630551. The next prime is 2137257630587. The reversal of 2137257630585 is 5850367527312.

2137257630585 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 2 + 57 + 6 + 3 + 0 + 585 = 666.

It is not a de Polignac number, because 2137257630585 - 2⁸ = 2137257630329 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2137257630587) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14211394 + ... + 14360996.

It is an arithmetic number, because the mean of its divisors is an integer number (17737050240).

Almost surely, 2^{2137257630585} is an apocalyptic number.

It is an amenable number.

2137257630585 is an abundant number, since it is smaller than the sum of its proper divisors (2971012838535).

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

2137257630585 is a wasteful number, since it uses less digits than its factorization.

2137257630585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149689 (or 149679 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 2137257630585 in words is "two trillion, one hundred thirty-seven billion, two hundred fifty-seven million, six hundred thirty thousand, five hundred eighty-five".