38987100261 has 48 divisors (see below), whose sum is σ = 57340483200. Its totient is φ = 25523544960.

The previous prime is 38987100247. The next prime is 38987100329. The reversal of 38987100261 is 16200178983.

38987100261 is a `hidden beast` number, since 389 + 8 + 7 + 1 + 0 + 0 + 261 = 666.

It is not a de Polignac number, because 38987100261 - 2¹⁸ = 38986838117 is a prime.

It is a super-2 number, since 2×38987100261² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38987100211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104522871 + ... + 104523243.

It is an arithmetic number, because the mean of its divisors is an integer number (1194593400).

Almost surely, 2^38987100261 is an apocalyptic number.

It is an amenable number.

38987100261 is a deficient number, since it is larger than the sum of its proper divisors (18353382939).

38987100261 is a wasteful number, since it uses less digits than its factorization.

38987100261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 38987100261 in words is "thirty-eight billion, nine hundred eighty-seven million, one hundred thousand, two hundred sixty-one".