1825161600 has 96 divisors (see below), whose sum is σ = 6011657640. Its totient is φ = 486707200.

The previous prime is 1825161593. The next prime is 1825161629. The reversal of 1825161600 is 61615281.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×1825161600⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 11 ways as a sum of consecutive naturals, for example, 85461 + ... + 104660.

Almost surely, 2^1825161600 is an apocalyptic number.

1825161600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1825161600 is an abundant number, since it is smaller than the sum of its proper divisors (4186496040).

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

1825161600 is a wasteful number, since it uses less digits than its factorization.

1825161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190148 (or 190131 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1825161600 is about 42721.9100696586. The cubic root of 1825161600 is about 1222.0822632513.

Adding to 1825161600 its reverse (61615281), we get a palindrome (1886776881).

The spelling of 1825161600 in words is "one billion, eight hundred twenty-five million, one hundred sixty-one thousand, six hundred".