1151253662031 has 96 divisors (see below), whose sum is σ = 1888323840000. Its totient is φ = 669492096000.

The previous prime is 1151253661991. The next prime is 1151253662113. The reversal of 1151253662031 is 1302663521511.

1151253662031 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 25 + 3 + 6 + 620 + 3 + 1 = 666.

It is not a de Polignac number, because 1151253662031 - 2³⁴ = 1134073792847 is a prime.

It is a super-2 number, since 2×1151253662031² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151273662031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 411013831 + ... + 411016631.

It is an arithmetic number, because the mean of its divisors is an integer number (19670040000).

Almost surely, 2^{1151253662031} is an apocalyptic number.

1151253662031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1151253662031 is a deficient number, since it is larger than the sum of its proper divisors (737070177969).

1151253662031 is a wasteful number, since it uses less digits than its factorization.

1151253662031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1151253662031 in words is "one trillion, one hundred fifty-one billion, two hundred fifty-three million, six hundred sixty-two thousand, thirty-one".