1205613500 has 96 divisors (see below), whose sum is σ = 3240811392. Its totient is φ = 381542400.

The previous prime is 1205613473. The next prime is 1205613527. The reversal of 1205613500 is 53165021.

It is an interprime number because it is at equal distance from previous prime (1205613473) and next prime (1205613527).

It is a super-2 number, since 2×1205613500² = 2907007822764500000, which contains 22 as substring.

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, 32252 + ... + 58748.

It is an arithmetic number, because the mean of its divisors is an integer number (33758452).

Almost surely, 2^1205613500 is an apocalyptic number.

1205613500 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 1205613500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620405696).

1205613500 is an abundant number, since it is smaller than the sum of its proper divisors (2035197892).

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

1205613500 is a wasteful number, since it uses less digits than its factorization.

1205613500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26536 (or 26524 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 1205613500 is about 34721.9455100085. The cubic root of 1205613500 is about 1064.3130015032.

Adding to 1205613500 its reverse (53165021), we get a palindrome (1258778521).

The spelling of 1205613500 in words is "one billion, two hundred five million, six hundred thirteen thousand, five hundred".