2157825201 has 48 divisors (see below), whose sum is σ = 3502080000. Its totient is φ = 1176148512.

The previous prime is 2157825169. The next prime is 2157825209. The reversal of 2157825201 is 1025287512.

It is not a de Polignac number, because 2157825201 - 2⁵ = 2157825169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2157825209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1686480 + ... + 1687758.

It is an arithmetic number, because the mean of its divisors is an integer number (72960000).

Almost surely, 2^2157825201 is an apocalyptic number.

2157825201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2157825201 is a deficient number, since it is larger than the sum of its proper divisors (1344254799).

2157825201 is a wasteful number, since it uses less digits than its factorization.

2157825201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 2157825201 is about 46452.3971502010. The cubic root of 2157825201 is about 1292.2268292218.

The spelling of 2157825201 in words is "two billion, one hundred fifty-seven million, eight hundred twenty-five thousand, two hundred one".