2106402309025 has 27 divisors (see below), whose sum is σ = 3038451135219. Its totient is φ = 1444355322480.

The previous prime is 2106402309019. The next prime is 2106402309083. The reversal of 2106402309025 is 5209032046012.

The square root of 2106402309025 is 1451345.

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

It can be written as a sum of positive squares in only one way, i.e., 758304831249 + 1348097477776 = 870807^2 + 1161076^2 .

It is not a de Polignac number, because 2106402309025 - 2³ = 2106402309017 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50776342 + ... + 50817808.

Almost surely, 2^{2106402309025} is an apocalyptic number.

2106402309025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2106402309025 is the 1451345-th square number.

2106402309025 is the 725673-rd centered octagonal number.

It is an amenable number.

2106402309025 is a deficient number, since it is larger than the sum of its proper divisors (932048826194).

2106402309025 is an frugal number, since it uses more digits than its factorization.

2106402309025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82958 (or 41479 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 2106402309025 in words is "two trillion, one hundred six billion, four hundred two million, three hundred nine thousand, twenty-five".