7261137104 has 60 divisors (see below), whose sum is σ = 16053058476. Its totient is φ = 3151958016.

The previous prime is 7261137077. The next prime is 7261137157. The reversal of 7261137104 is 4017311627.

It can be written as a sum of positive squares in 6 ways, for example, as 683927104 + 6577210000 = 26152^2 + 81100^2 .

It is a super-2 number, since 2×7261137104² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5066372 + ... + 5067804.

Almost surely, 2^7261137104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7261137104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8026529238).

7261137104 is an abundant number, since it is smaller than the sum of its proper divisors (8791921372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7261137104 is a wasteful number, since it uses less digits than its factorization.

7261137104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 7261137104 is about 85212.3060596297. The cubic root of 7261137104 is about 1936.4288559426.

The spelling of 7261137104 in words is "seven billion, two hundred sixty-one million, one hundred thirty-seven thousand, one hundred four".