1631561207157 has 72 divisors (see below), whose sum is σ = 2760772510080. Its totient is φ = 925760404800.

The previous prime is 1631561207131. The next prime is 1631561207183. The reversal of 1631561207157 is 7517021651361.

1631561207157 is a `hidden beast` number, since 1 + 6 + 3 + 15 + 612 + 0 + 7 + 15 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (1631561207131) and next prime (1631561207183).

It is not a de Polignac number, because 1631561207157 - 2²⁴ = 1631544429941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1631561247157) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 256571944 + ... + 256578302.

It is an arithmetic number, because the mean of its divisors is an integer number (38344062640).

Almost surely, 2^{1631561207157} is an apocalyptic number.

It is an amenable number.

1631561207157 is a deficient number, since it is larger than the sum of its proper divisors (1129211302923).

1631561207157 is a wasteful number, since it uses less digits than its factorization.

1631561207157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10383 (or 10373 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 1631561207157 in words is "one trillion, six hundred thirty-one billion, five hundred sixty-one million, two hundred seven thousand, one hundred fifty-seven".