1564034130 has 64 divisors (see below), whose sum is σ = 4207749120. Its totient is φ = 413376768.

The previous prime is 1564034117. The next prime is 1564034137. The reversal of 1564034130 is 314304651.

1564034130 is a `hidden beast` number, since 1 + 5 + 640 + 3 + 4 + 13 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1564034094 and 1564034103.

It is not an unprimeable number, because it can be changed into a prime (1564034137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4879 + ... + 56141.

It is an arithmetic number, because the mean of its divisors is an integer number (65746080).

Almost surely, 2^1564034130 is an apocalyptic number.

1564034130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1564034130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103874560).

1564034130 is an abundant number, since it is smaller than the sum of its proper divisors (2643714990).

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

1564034130 is a wasteful number, since it uses less digits than its factorization.

1564034130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51392 (or 51386 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1564034130 is about 39547.8713712887. The cubic root of 1564034130 is about 1160.7768602136.

Adding to 1564034130 its reverse (314304651), we get a palindrome (1878338781).

It can be divided in two parts, 15640 and 34130, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 1564034130 in words is "one billion, five hundred sixty-four million, thirty-four thousand, one hundred thirty".