4152461625 has 256 divisors, whose sum is σ = 8856207360. Its totient is φ = 1905120000.

The previous prime is 4152461623. The next prime is 4152461627. The reversal of 4152461625 is 5261642514.

4152461625 is a `hidden beast` number, since 4 + 1 + 5 + 24 + 6 + 1 + 625 = 666.

4152461625 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4152461623) and next prime (4152461627).

It is not a de Polignac number, because 4152461625 - 2¹ = 4152461623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4152461625.

It is not an unprimeable number, because it can be changed into a prime (4152461623) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 58485340 + ... + 58485410.

It is an arithmetic number, because the mean of its divisors is an integer number (34594560).

Almost surely, 2^4152461625 is an apocalyptic number.

4152461625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4152461625 is an abundant number, since it is smaller than the sum of its proper divisors (4703745735).

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

4152461625 is a wasteful number, since it uses less digits than its factorization.

4152461625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 4152461625 is about 64439.5967166152. The cubic root of 4152461625 is about 1607.3182500644.

The spelling of 4152461625 in words is "four billion, one hundred fifty-two million, four hundred sixty-one thousand, six hundred twenty-five".