2132564301 has 64 divisors (see below), whose sum is σ = 3869798400. Its totient is φ = 1134036288.

The previous prime is 2132564261. The next prime is 2132564353. The reversal of 2132564301 is 1034652312.

2132564301 is a `hidden beast` number, since 2 + 13 + 2 + 5 + 643 + 0 + 1 = 666.

It is not a de Polignac number, because 2132564301 - 2⁷ = 2132564173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132564101) 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, 154210 + ... + 167468.

It is an arithmetic number, because the mean of its divisors is an integer number (60465600).

Almost surely, 2^2132564301 is an apocalyptic number.

2132564301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2132564301 is a deficient number, since it is larger than the sum of its proper divisors (1737234099).

2132564301 is a wasteful number, since it uses less digits than its factorization.

2132564301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13335 (or 13329 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2132564301 is about 46179.6957655635. The cubic root of 2132564301 is about 1287.1644749344.

The spelling of 2132564301 in words is "two billion, one hundred thirty-two million, five hundred sixty-four thousand, three hundred one".