1256164500 has 96 divisors (see below), whose sum is σ = 3690820224. Its totient is φ = 331968000.

The previous prime is 1256164489. The next prime is 1256164513. The reversal of 1256164500 is 54616521.

1256164500 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1256164500³ (a number of 28 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165795 + ... + 173205.

It is an arithmetic number, because the mean of its divisors is an integer number (38446044).

Almost surely, 2^1256164500 is an apocalyptic number.

1256164500 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 1256164500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845410112).

1256164500 is an abundant number, since it is smaller than the sum of its proper divisors (2434655724).

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

1256164500 is a wasteful number, since it uses less digits than its factorization.

1256164500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7546 (or 7534 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1256164500 is about 35442.4110353683. The cubic root of 1256164500 is about 1078.9852436896.

The spelling of 1256164500 in words is "one billion, two hundred fifty-six million, one hundred sixty-four thousand, five hundred".