902650106241 has 81 divisors (see below), whose sum is σ = 1500819177819. Its totient is φ = 522437041152.

The previous prime is 902650106233. The next prime is 902650106249. The reversal of 902650106241 is 142601056209.

The square root of 902650106241 is 950079.

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

902650106241 is a `hidden beast` number, since 9 + 0 + 26 + 5 + 0 + 1 + 0 + 624 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (902650106233) and next prime (902650106249).

It can be written as a sum of positive squares in 13 ways, for example, as 223667514225 + 678982592016 = 472935^2 + 824004^2 .

It is not a de Polignac number, because 902650106241 - 2³ = 902650106233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 902650106196 and 902650106205.

It is not an unprimeable number, because it can be changed into a prime (902650106249) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 629901661 + ... + 629903093.

Almost surely, 2^902650106241 is an apocalyptic number.

902650106241 is the 950079-th square number.

902650106241 is the 475040-th centered octagonal number.

It is an amenable number.

902650106241 is a deficient number, since it is larger than the sum of its proper divisors (598169071578).

902650106241 is a wasteful number, since it uses less digits than its factorization.

902650106241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 902650106241 by its sum of digits (36), we get a square (32495403824676 = 5700474²).

The spelling of 902650106241 in words is "nine hundred two billion, six hundred fifty million, one hundred six thousand, two hundred forty-one".