2533158728100 has 2187 divisors, whose sum is σ = 11204746117929. Its totient is φ = 476713036800.

The previous prime is 2533158728083. The next prime is 2533158728119. The reversal of 2533158728100 is 18278513352.

The square root of 2533158728100 is 1591590.

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

2533158728100 is a `hidden beast` number, since 2 + 5 + 3 + 31 + 587 + 28 + 10 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1989470756196 + 543687971904 = 1410486^2 + 737352^2 .

It is a super-2 number, since 2×2533158728100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 47795447674 + ... + 47795447726.

Almost surely, 2^{2533158728100} is an apocalyptic number.

2533158728100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2533158728100 is the 1591590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2533158728100

2533158728100 is an abundant number, since it is smaller than the sum of its proper divisors (8671587389829).

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

2533158728100 is a wasteful number, since it uses less digits than its factorization.

2533158728100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 2533158728100 in words is "two trillion, five hundred thirty-three billion, one hundred fifty-eight million, seven hundred twenty-eight thousand, one hundred".