1564131262551 has 64 divisors (see below), whose sum is σ = 2579858158080. Its totient is φ = 828727511040.

The previous prime is 1564131262517. The next prime is 1564131262579. The reversal of 1564131262551 is 1552621314651.

It is not a de Polignac number, because 1564131262551 - 2¹⁸ = 1564131000407 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1564131262651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27954435 + ... + 28010331.

It is an arithmetic number, because the mean of its divisors is an integer number (40310283720).

Almost surely, 2^{1564131262551} is an apocalyptic number.

1564131262551 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1564131262551 is a deficient number, since it is larger than the sum of its proper divisors (1015726895529).

1564131262551 is a wasteful number, since it uses less digits than its factorization.

1564131262551 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59376.

The product of its digits is 216000, while the sum is 42.

The spelling of 1564131262551 in words is "one trillion, five hundred sixty-four billion, one hundred thirty-one million, two hundred sixty-two thousand, five hundred fifty-one".