411875150625 has 135 divisors (see below), whose sum is σ = 764960453829. Its totient is φ = 213480036000.

The previous prime is 411875150593. The next prime is 411875150639. The reversal of 411875150625 is 526051578114.

The square root of 411875150625 is 641775.

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

411875150625 is a `hidden beast` number, since 4 + 1 + 1 + 8 + 7 + 5 + 15 + 0 + 625 = 666.

411875150625 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 32291011809 + 379584138816 = 179697^2 + 616104^2 .

It is not a de Polignac number, because 411875150625 - 2⁵ = 411875150593 is a prime.

It is a super-2 number, since 2×411875150625² (a number of 24 digits) contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2069724276 + ... + 2069724474.

Almost surely, 2^411875150625 is an apocalyptic number.

411875150625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

411875150625 is the 641775-th square number.

411875150625 is the 320888-th centered octagonal number.

It is an amenable number.

411875150625 is a deficient number, since it is larger than the sum of its proper divisors (353085303204).

411875150625 is an frugal number, since it uses more digits than its factorization.

411875150625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

It can be divided in two parts, 411875 and 150625, that added together give a square (562500 = 750²).

The spelling of 411875150625 in words is "four hundred eleven billion, eight hundred seventy-five million, one hundred fifty thousand, six hundred twenty-five".