251453132540001 has 48 divisors (see below), whose sum is σ = 433366902420480. Its totient is φ = 143679667289760.

The previous prime is 251453132539991. The next prime is 251453132540009. The reversal of 251453132540001 is 100045231354152.

251453132540001 is a `hidden beast` number, since 2 + 51 + 4 + 5 + 31 + 32 + 540 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 251453132540001 - 2¹⁸ = 251453132277857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (251453132540009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19125511 + ... + 29473571.

It is an arithmetic number, because the mean of its divisors is an integer number (9028477133760).

Almost surely, 2^{251453132540001} is an apocalyptic number.

251453132540001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

251453132540001 is a deficient number, since it is larger than the sum of its proper divisors (181913769880479).

251453132540001 is a wasteful number, since it uses less digits than its factorization.

251453132540001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10366451 (or 10366438 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 251453132540001 its reverse (100045231354152), we get a palindrome (351498363894153).

The spelling of 251453132540001 in words is "two hundred fifty-one trillion, four hundred fifty-three billion, one hundred thirty-two million, five hundred forty thousand, one".