153005255525250 has 128 divisors (see below), whose sum is σ = 424719305487360. Its totient is φ = 40764408192000.

The previous prime is 153005255525233. The next prime is 153005255525261. The reversal of 153005255525250 is 52525552500351.

153005255525250 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 0 + 52 + 55 + 525 + 25 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 153005255525196 and 153005255525205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2830111 + ... + 17720610.

It is an arithmetic number, because the mean of its divisors is an integer number (3318119574120).

Almost surely, 2^{153005255525250} is an apocalyptic number.

153005255525250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153005255525250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212359652743680).

153005255525250 is an abundant number, since it is smaller than the sum of its proper divisors (271714049962110).

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

153005255525250 is a wasteful number, since it uses less digits than its factorization.

153005255525250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20551850 (or 20551834 counting only the distinct ones).

The product of its (nonzero) digits is 1875000, while the sum is 45.

The spelling of 153005255525250 in words is "one hundred fifty-three trillion, five billion, two hundred fifty-five million, five hundred twenty-five thousand, two hundred fifty".