25506780 has 96 divisors (see below), whose sum is σ = 78490944. Its totient is φ = 6150144.

The previous prime is 25506779. The next prime is 25506781. The reversal of 25506780 is 8760552.

25506780 = T₃₄₅ + T₃₄₆ + ... + T₅₇₈.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25506779) and next prime (25506781).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25506781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41032 + ... + 41648.

It is an arithmetic number, because the mean of its divisors is an integer number (817614).

Almost surely, 2^25506780 is an apocalyptic number.

25506780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25506780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39245472).

25506780 is an abundant number, since it is smaller than the sum of its proper divisors (52984164).

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

25506780 is a wasteful number, since it uses less digits than its factorization.

25506780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 25506780 is about 5050.4237445981. The cubic root of 25506780 is about 294.3643499828.

The spelling of 25506780 in words is "twenty-five million, five hundred six thousand, seven hundred eighty".