2415251601 has 72 divisors (see below), whose sum is σ = 4234417824. Its totient is φ = 1371686400.

The previous prime is 2415251581. The next prime is 2415251603. The reversal of 2415251601 is 1061525142.

2415251601 is a `hidden beast` number, since 2 + 4 + 1 + 5 + 2 + 51 + 601 = 666.

It is not a de Polignac number, because 2415251601 - 2⁵ = 2415251569 is a prime.

It is a super-2 number, since 2×2415251601² = 11666880592266126402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2415251603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2297526 + ... + 2298576.

Almost surely, 2^2415251601 is an apocalyptic number.

2415251601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2415251601 is a deficient number, since it is larger than the sum of its proper divisors (1819166223).

2415251601 is a wasteful number, since it uses less digits than its factorization.

2415251601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2415251601 is about 49145.2093392632. The cubic root of 2415251601 is about 1341.6960037273.

Adding to 2415251601 its reverse (1061525142), we get a palindrome (3476776743).

It can be divided in two parts, 2415 and 251601, that added together give a square (254016 = 504²).

The spelling of 2415251601 in words is "two billion, four hundred fifteen million, two hundred fifty-one thousand, six hundred one".