7513228128 has 96 divisors (see below), whose sum is σ = 23316975360. Its totient is φ = 2072609280.

The previous prime is 7513228123. The next prime is 7513228133. The reversal of 7513228128 is 8218223157.

It is an interprime number because it is at equal distance from previous prime (7513228123) and next prime (7513228133).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×7513228128³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7513228123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173278 + ... + 212253.

It is an arithmetic number, because the mean of its divisors is an integer number (242885160).

Almost surely, 2^7513228128 is an apocalyptic number.

It is an amenable number.

7513228128 is an abundant number, since it is smaller than the sum of its proper divisors (15803747232).

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

7513228128 is a wasteful number, since it uses less digits than its factorization.

7513228128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385580 (or 385572 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 7513228128 is about 86678.8793651602. The cubic root of 7513228128 is about 1958.5839528951.

It can be divided in two parts, 7513 and 228128, that added together give a triangular number (235641 = T₆₈₆).

The spelling of 7513228128 in words is "seven billion, five hundred thirteen million, two hundred twenty-eight thousand, one hundred twenty-eight".