98057268261 has 24 divisors (see below), whose sum is σ = 146676489336. Its totient is φ = 63086624640.

The previous prime is 98057268259. The next prime is 98057268263. The reversal of 98057268261 is 16286275089.

98057268261 is a `hidden beast` number, since 9 + 8 + 0 + 572 + 6 + 8 + 2 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (98057268259) and next prime (98057268263).

It can be written as a sum of positive squares in 4 ways, for example, as 103917636 + 97953350625 = 10194^2 + 312975^2 .

It is not a de Polignac number, because 98057268261 - 2¹ = 98057268259 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 98057268198 and 98057268207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98057268263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1655910 + ... + 1714103.

It is an arithmetic number, because the mean of its divisors is an integer number (6111520389).

Almost surely, 2^98057268261 is an apocalyptic number.

It is an amenable number.

98057268261 is a deficient number, since it is larger than the sum of its proper divisors (48619221075).

98057268261 is a wasteful number, since it uses less digits than its factorization.

98057268261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370133 (or 3370130 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 98057268261 in words is "ninety-eight billion, fifty-seven million, two hundred sixty-eight thousand, two hundred sixty-one".