1225513800 has 480 divisors, whose sum is σ = 4958521920. Its totient is φ = 274752000.

The previous prime is 1225513789. The next prime is 1225513801. The reversal of 1225513800 is 83155221.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1225513801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11453347 + ... + 11453453.

It is an arithmetic number, because the mean of its divisors is an integer number (10330254).

Almost surely, 2^1225513800 is an apocalyptic number.

1225513800 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 1225513800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479260960).

1225513800 is an abundant number, since it is smaller than the sum of its proper divisors (3733008120).

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

1225513800 is a wasteful number, since it uses less digits than its factorization.

1225513800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1225513800 is about 35007.3392305099. The cubic root of 1225513800 is about 1070.1370540954.

The spelling of 1225513800 in words is "one billion, two hundred twenty-five million, five hundred thirteen thousand, eight hundred".