48777525 has 48 divisors (see below), whose sum is σ = 90470400. Its totient is φ = 25764480.

The previous prime is 48777499. The next prime is 48777529. The reversal of 48777525 is 52577784.

It is not a de Polignac number, because 48777525 - 2⁸ = 48777269 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48777529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85441 + ... + 86009.

It is an arithmetic number, because the mean of its divisors is an integer number (1884800).

Almost surely, 2^48777525 is an apocalyptic number.

48777525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48777525 is a deficient number, since it is larger than the sum of its proper divisors (41692875).

48777525 is a wasteful number, since it uses less digits than its factorization.

48777525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 704 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The square root of 48777525 is about 6984.0908499246. The cubic root of 48777525 is about 365.3759184520.

The spelling of 48777525 in words is "forty-eight million, seven hundred seventy-seven thousand, five hundred twenty-five".