1025613600 has 288 divisors, whose sum is σ = 3715637184. Its totient is φ = 243609600.

The previous prime is 1025613599. The next prime is 1025613601. The reversal of 1025613600 is 63165201.

It is an interprime number because it is at equal distance from previous prime (1025613599) and next prime (1025613601).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025613601) 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, 1398834 + ... + 1399566.

It is an arithmetic number, because the mean of its divisors is an integer number (12901518).

Almost surely, 2^1025613600 is an apocalyptic number.

1025613600 is a gapful number since it is divisible by the number (10) 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 1025613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857818592).

1025613600 is an abundant number, since it is smaller than the sum of its proper divisors (2690023584).

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

1025613600 is a wasteful number, since it uses less digits than its factorization.

1025613600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1025613600 is about 32025.2025754717. The cubic root of 1025613600 is about 1008.4659913953.

Adding to 1025613600 its reverse (63165201), we get a palindrome (1088778801).

The spelling of 1025613600 in words is "one billion, twenty-five million, six hundred thirteen thousand, six hundred".