25142253510 has 192 divisors, whose sum is σ = 68653474560. Its totient is φ = 5840943360.

The previous prime is 25142253497. The next prime is 25142253517. The reversal of 25142253510 is 1535224152.

It is a super-2 number, since 2×25142253510² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25142253517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49395136 + ... + 49395644.

It is an arithmetic number, because the mean of its divisors is an integer number (357570180).

Almost surely, 2^25142253510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25142253510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34326737280).

25142253510 is an abundant number, since it is smaller than the sum of its proper divisors (43511221050).

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

25142253510 is a wasteful number, since it uses less digits than its factorization.

25142253510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 25142253510 its reverse (1535224152), we get a palindrome (26677477662).

The spelling of 25142253510 in words is "twenty-five billion, one hundred forty-two million, two hundred fifty-three thousand, five hundred ten".