2137517943561 has 384 divisors, whose sum is σ = 4413981081600. Its totient is φ = 992231285760.

The previous prime is 2137517943553. The next prime is 2137517943593. The reversal of 2137517943561 is 1653497157312.

2137517943561 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 5 + 1 + 79 + 4 + 3 + 561 = 666.

It is not a de Polignac number, because 2137517943561 - 2³ = 2137517943553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2137517943498 and 2137517943507.

It is not an unprimeable number, because it can be changed into a prime (2137517943541) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1471105911 + ... + 1471107363.

It is an arithmetic number, because the mean of its divisors is an integer number (11494742400).

Almost surely, 2^{2137517943561} is an apocalyptic number.

2137517943561 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2137517943561 is an abundant number, since it is smaller than the sum of its proper divisors (2276463138039).

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

2137517943561 is a wasteful number, since it uses less digits than its factorization.

2137517943561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1619 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The spelling of 2137517943561 in words is "two trillion, one hundred thirty-seven billion, five hundred seventeen million, nine hundred forty-three thousand, five hundred sixty-one".