1566312540 has 96 divisors (see below), whose sum is σ = 4789725696. Its totient is φ = 380110080.

The previous prime is 1566312523. The next prime is 1566312563. The reversal of 1566312540 is 452136651.

1566312540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1566312540² = 4906669945922503200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41239 + ... + 69521.

It is an arithmetic number, because the mean of its divisors is an integer number (49892976).

Almost surely, 2^1566312540 is an apocalyptic number.

1566312540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1566312540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394862848).

1566312540 is an abundant number, since it is smaller than the sum of its proper divisors (3223413156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1566312540 is a wasteful number, since it uses less digits than its factorization.

1566312540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28379 (or 28377 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 1566312540 is about 39576.6666105169. Note that the first 4 decimals coincide. The cubic root of 1566312540 is about 1161.3402414419.

It can be divided in two parts, 15663 and 12540, that added together give a triangular number (28203 = T₂₃₇).

The spelling of 1566312540 in words is "one billion, five hundred sixty-six million, three hundred twelve thousand, five hundred forty".