1557506496001 has 3 divisors (see below), whose sum is σ = 1557507744003. Its totient is φ = 1557505248000.

The previous prime is 1557506495983. The next prime is 1557506496041. The reversal of 1557506496001 is 1006946057551.

The square root of 1557506496001 is 1248001.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 559505496001 + 998001000000 = 748001^2 + 999000^2 .

It is not a de Polignac number, because 1557506496001 - 2⁵ = 1557506495969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1557506496041) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 624001 + ... + 1872001.

It is an arithmetic number, because the mean of its divisors is an integer number (519169248001).

Almost surely, 2^{1557506496001} is an apocalyptic number.

1557506496001 is the 1248001-st square number.

1557506496001 is the 624001-st centered octagonal number.

It is an amenable number.

1557506496001 is a deficient number, since it is larger than the sum of its proper divisors (1248002).

1557506496001 is an frugal number, since it uses more digits than its factorization.

1557506496001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496002 (or 1248001 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 49.

Multiplying 1557506496001 by its sum of digits (49), we get a square (76317818304049 = 8736007²).

The spelling of 1557506496001 in words is "one trillion, five hundred fifty-seven billion, five hundred six million, four hundred ninety-six thousand, one".