1025114688 has 168 divisors, whose sum is σ = 3350882808. Its totient is φ = 296828928.

The previous prime is 1025114659. The next prime is 1025114719. The reversal of 1025114688 is 8864115201.

It can be written as a sum of positive squares in 4 ways, for example, as 227165184 + 797949504 = 15072^2 + 28248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123270 + ... + 131322.

It is an arithmetic number, because the mean of its divisors is an integer number (19945731).

Almost surely, 2^1025114688 is an apocalyptic number.

1025114688 is a gapful number since it is divisible by the number (18) 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 1025114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675441404).

1025114688 is an abundant number, since it is smaller than the sum of its proper divisors (2325768120).

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

1025114688 is a wasteful number, since it uses less digits than its factorization.

1025114688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8101 (or 8088 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1025114688 is about 32017.4122627048. The cubic root of 1025114688 is about 1008.3024413701.

Adding to 1025114688 its reverse (8864115201), we get a palindrome (9889229889).

The spelling of 1025114688 in words is "one billion, twenty-five million, one hundred fourteen thousand, six hundred eighty-eight".